Received October 15, 2008, in final form January 15, 2009; Published online January 27, 2009

Abstract
We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation
associated with the Lie algebra glN.
The main ingredient is a special class of the shifted non-symmetric Jack polynomials.
It may be regarded as a shifted version of the singular polynomials studied by Dunkl.
We prove that our solutions contain those obtained as
a scaling limit of matrix elements of the vertex operators of level one.